一阶非线性时标动态方程的Hyers-Ulam-Rassias稳定性

Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations on Time Scales

利用Picard算子和动态不等式,探讨了一类形式更普遍的一阶非线性时标动态方程的Hyers-Ulam-Rassias稳定性,并且提供三个例子说明这些结论的应用.

In this paper,by employing the Picard operator and dynamic inequalities,we investigate Hyers-Ulam-Rassias stability of a class of first-order nonlinear dynamic equations on time scales,which is more general than the equations discussed in the references.Three examples are presented to illustrate the applications of the conclusions.